A Simple Rule Change To Boggle a Bot?

You guys who have studied typical holdem rules and have learned to efficiently utilize computer simulations and solvers, might have a bias against this game I just thought of. But try to put that aside in your replies.

No Limit Holdem. Except that after the flop betting round, remaining players must pick one of their two cards to expose. Either simultaneously or sequentially. Or possibly the exposure comes after the turn card is dealt but before the bets. Or possibly after the turn betting round.

It seems to me that the knowledge of one card for each opponent and the decision as to which card to show makes for a game where the amount of computer time to derive the GTO strategy rises exponentially. And it monumentally affects everything including preflop strategy. And the best players would not usually be the ones who are best now. Do you agree? Do you think people would play this game?